2.77777777778 as a Fraction

Answer

The answer for 2.77777777778 as a fraction will be 25/9.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following a few steps. Follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be rewritten to show its repeating part. Here, 2.77777777778 can be approximated by considering the repeating pattern 2.(7), where (7) indicates the repeating digit.

Step 2: To convert this to a fraction, set x = 2.77777777778 and multiply by 10 to shift the decimal point: 10x = 27.7777777778

Step 3: Subtract the original number from this equation to eliminate the repeating part: 10x - x = 27.7777777778 - 2.77777777778 9x = 25

Step 4: Solve for x by dividing both sides by 9: x = 25/9

Thus, 2.77777777778 can be approximated as the fraction 25/9.

• Fraction: A numerical quantity that represents a part of a whole, expressed as p/q where p is the numerator and q is the denominator.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.